Weighting in GENLINMIXED

Posted by Hector Maletta on Feb 16, 2012; 10:27am
URL: http://spssx-discussion.165.s1.nabble.com/Weighting-in-GENLINMIXED-tp5489150.html

I am asked to assist in an application of a multilevel model through GENLINMIXED, for a survey based on a three-stage clustered sample (first selecting towns, then neighborhoods, then households). Since the multilevel model would look for effects within and between towns, neighborhoods in towns, and households in towns and neighborhoods, the question is what to do in this case about sample weighting.
For other analyses (including tabulations of results) each household is weighted according to the product of the reciprocals of sampling ratios at the three stages (Pt/St)(Ptn/Stn)(Ptnh/Stnh) where M=Population and S=sample, t=towns, n=neighborhoods, and h=households. These weights, in this format, correct for proportionality of sampling, and also inflate the weighted sample to population size. A deflation of the weighted sample to its original sample size could be achieved through multiplying those weights by the ratio R=(total household sample size/total households in the population).
The question is whether any weight (inflationary or most probably not inflationary) should be used when analyzing a multilevel model where the levels are the sampling stages. I have heard opinions for and against, and would like to hear more on the subject.

Hector

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